Optimality and duality in set-valued optimization utilizing limit sets

被引：3

作者：

Kong, Xiangyu ^{[1
]}

Zhang, Yinfeng ^{[1
]}

Yu, Guolin ^{[1
]}

机构：

[1] North Minzu Univ, Inst Appl Math, Ningxia 750021, Peoples R China

来源：

OPEN MATHEMATICS | 2018年 / 16卷

关键词：

Limit set; Optimality conditions; Set-valued optimization; Nearly cone-subconvexlike; Duality; VECTOR OPTIMIZATION; LAGRANGIAN-DUALITY; MAPPINGS; SUBCONVEXLIKENESS; MAXIMIZATIONS; DERIVATIVES; MAPS;

D O I：

10.1515/math-2018-0095

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with optimality conditions and duality theory for vector optimization involving non-convex set-valued maps. Firstly, under the assumption of nearly cone-subconvexlike property for set-valued maps, the necessary and sufficient optimality conditions in terms of limit sets are derived for local weak minimizers of a set-valued constraint optimization problem. Then, applications to Mond-Weir type and Wolfe type dual problems are presented.

引用

页码：1128 / 1139

页数：12

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